1School of Arts and Sciences, Shanghai Maritime University, Shanghai 200135 2Institute of Nuclear, Particle, Astrophysics and Cosmology, Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 3Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000 4CCAST, World Laboratory, PO Box 8730, Beijing 100190
Benford's Law in Nuclear Structure Physics
JIANG Hui1,2, SHEN Jia-Jie2, ZHAO Yu-Min 2,3,4**
1School of Arts and Sciences, Shanghai Maritime University, Shanghai 200135 2Institute of Nuclear, Particle, Astrophysics and Cosmology, Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 3Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000 4CCAST, World Laboratory, PO Box 8730, Beijing 100190
摘要We investigate Benford's law based on the 2003 version of atomic mass evaluation. It is demonstrated that the first non-zero digit distribution functions for a number of experimental quantities are in reasonable agreement with those predicted by Benford's law. The data that we investigate here include 3001 sets of Sp, 3060 sets of Sn, 2943 sets of two-neutron separation energies S2n, 2826 sets of two-proton separation energies S2p, 1643 sets of β+-decay energies Q(β+), 1243 sets of β--decay energies Q(β−), 2595 sets of double β-decay energies Q(ββ−), and 2711 sets of energies in electron-capture proton processes Q(ϵp). The first non-zero digits of these data favor the smaller ones in a logarithmic pattern.
Abstract：We investigate Benford's law based on the 2003 version of atomic mass evaluation. It is demonstrated that the first non-zero digit distribution functions for a number of experimental quantities are in reasonable agreement with those predicted by Benford's law. The data that we investigate here include 3001 sets of Sp, 3060 sets of Sn, 2943 sets of two-neutron separation energies S2n, 2826 sets of two-proton separation energies S2p, 1643 sets of β+-decay energies Q(β+), 1243 sets of β--decay energies Q(β−), 2595 sets of double β-decay energies Q(ββ−), and 2711 sets of energies in electron-capture proton processes Q(ϵp). The first non-zero digits of these data favor the smaller ones in a logarithmic pattern.
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2011, Vol. 28 
